The sample space of an experiment is the set of all possible outcomes.
A
Loaf
Rolls
Wheat
Wheat, Loaf
Wheat, Rolls
Multigrain
Multigrain, Loaf
Multigrain, Rolls
Rye
Rye, Loaf
Rye, Rolls
Oat
Oat, Loaf
Oat, Rolls
B
There are 8 possible outcomes
Practice makes perfect
We are given an experiment and want to represent the sample space by making a table. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the combination of bread type and style.
Bread Type — Wheat or Multigrain or Rye or Oat
Bread Style — Loaf or Rolls
To make the table, we will list the type of bread in the left column and the style of bread in the top row.
Loaf
Rolls
Wheat
Wheat, Loaf
Wheat, Rolls
Multigrain
Multigrain, Loaf
Multigrain, Rolls
Rye
Rye, Loaf
Rye, Rolls
Oat
Oat, Loaf
Oat, Rolls
In Part B, we want to find the number of possible outcomes. We already stated that the sample space is the set of all possible outcomes. Because of this, the number of possible outcomes is equal to the number of combinations in the table, 8.
